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Suppose {u, v, w} is a set of vectors in a vector space V.Which of...

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Suppose {u, v, w} is a set of vectors in a vector space V.Which of the following statements is equivalent to"{u, v, w} is linearly independent"?I. None of the vectors u, v or w is a linear combination of the other vectors in {u, v, w}.II. None of the vectors u, v or w is a multiple of any other single vector in {u, v, w}.III. If a, b, c are scalars then au+by+cu=0 implies a = b = c=0.IV. If a b c = 0, then au + bv + cw = 0.mark (X) the correct answer:A I. and II.BI. and III.CI. and IV.D II. and III.E II. and IV.FIII. and IV.

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